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Finding the Fourth Proportional to 2,732.57, 4,097.24 and 1,272.05

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Solution

The fourth proportional to 2,732.57, 4,097.24 and 1,272.05 is: 1,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.57 : 4,097.24 = 1,272.05 : x
  2. Step 2: Convert to fraction form
    2,732.57/4,097.24 = 1,272.05/x
  3. Step 3: Cross multiply
    2,732.57x = 4,097.24 × 1,272.05
  4. Step 4: Simplify right side
    2,732.57x = 5,211,887.78
  5. Step 5: Solve for x
    x = 5,211,887.78/2,732.57
  6. Step 6: Final answer
    x = 1,907.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.